In the Lie algebroid case, one has \(\Lambda ^{(2)k+1}(E) =\lbrace  0\rbrace  \) , \(\mathcal {Z}^{k}(E) =Z^{k}(E) \) , \(\mathcal {B}^{k}(E) =B^{k}(E) \)  and \(\mathcal {H}^{k}(E) =H^{k}(E) \)  is the \(k\) -cohomology space of the Lie algebroid (as, for example in [1]}).
